345177180 has 192 divisors, whose sum is σ = 1197504000. Its totient is φ = 82031616.

The previous prime is 345177137. The next prime is 345177187. The reversal of 345177180 is 81771543.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345177187) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173431 + ... + 175409.

It is an arithmetic number, because the mean of its divisors is an integer number (6237000).

Almost surely, 2^345177180 is an apocalyptic number.

345177180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345177180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752000).

345177180 is an abundant number, since it is smaller than the sum of its proper divisors (852326820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345177180 is a wasteful number, since it uses less digits than its factorization.

345177180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 345177180 is about 18578.9445340687. The cubic root of 345177180 is about 701.4779521444.

The spelling of 345177180 in words is "three hundred forty-five million, one hundred seventy-seven thousand, one hundred eighty".